Atkin-Lehner |
2- 3+ 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
48720bf |
Isogeny class |
Conductor |
48720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-346076478720 = -1 · 28 · 38 · 5 · 72 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -2 -2 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,524,-28100] |
[a1,a2,a3,a4,a6] |
Generators |
[141:1682:1] |
Generators of the group modulo torsion |
j |
62036678576/1351861245 |
j-invariant |
L |
3.1594958464656 |
L(r)(E,1)/r! |
Ω |
0.46557590240663 |
Real period |
R |
3.3931050019624 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998968 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12180g2 |
Quadratic twists by: -4 |